66814725600 has 432 divisors, whose sum is σ = 274354752672. Its totient is φ = 14983188480.

The previous prime is 66814725553. The next prime is 66814725619. The reversal of 66814725600 is 652741866.

66814725600 is a `hidden beast` number, since 6 + 6 + 8 + 14 + 7 + 25 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2658694 + ... + 2683706.

It is an arithmetic number, because the mean of its divisors is an integer number (635080446).

Almost surely, 2^66814725600 is an apocalyptic number.

66814725600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66814725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137177376336).

66814725600 is an abundant number, since it is smaller than the sum of its proper divisors (207540027072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66814725600 is a wasteful number, since it uses less digits than its factorization.

66814725600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25099 (or 25083 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 66814725600 in words is "sixty-six billion, eight hundred fourteen million, seven hundred twenty-five thousand, six hundred".